Estimating rotor parameters in induction motors using high-order sliding mode algorithms

Marco Tulio Angulo; Roberto V. Carrillo-Serrano

Estimating rotor parameters in induction motors using high-order sliding mode algorithms

View Fulltext

Author(s): Marco Tulio Angulo ¹ and Roberto V. Carrillo-Serrano ¹
- Affiliations: 1: Division de Posgrado e Investigación, Facultad de Ingeniería, Universidad Autónoma de Querétaro, Querétaro 76010, México
Source: Volume 9, Issue 4, 26 February 2015, p. 573 – 578
DOI: 10.1049/iet-cta.2014.0110 , Print ISSN 1751-8644, Online ISSN 1751-8652

Received 30/01/2014, Accepted 21/05/2014, Revised 15/04/2014, Published 12/08/2014

A good estimate of the rotor's parameters is essential in high-performance control of induction motors. It is shown that the structural impediment that prevents applying a usual adaptive observer to estimate these parameters is that the relative degree between the measured output and the unknown parameters is not one. Then, the high-order sliding mode differentiator is used to circumvent this restriction allowing the construction of a usual adaptive observer. Simulation results are presented to illustrate the performance of the proposed observer under ideal conditions and in the presence of measurement noises.

References

1. 1)
  - 1. Ilas, C., Bettini, A., Ferraris, L., Griva, G., Profumo, F.: ‘Comparison of different schemes without shaft sensors for field oriented control drives’. Twentieth Int. Conf. on. Industrial Electronics, Control and Instrumentation, IECON’94., vol. 3, IEEE, 1994, pp. 1579–1588.
2. 2)
  - 14. Besançon, G.: ‘Nonlinear observers and applications’ (LNCS) (Springer, London, Limited, 2007).
3. 3)
  - 11. Bejarano, F.J., Fridman, L.: ‘High order sliding mode observer for linear systems with unbounded unknown inputs’, Int. J. Control, 2010, 83, (9), 1920–1929 x (doi: 10.1080/00207179.2010.501386).
4. 4)
  - G. Kenné , R.S. Simo , F. Lamnabhi-Lagarrigue , A. Arzandé , J.C. Vannier . An online simplified rotor resistance estimator for induction motors. IEEE Trans. Control Syst. Tech. , 5 , 1188 - 1194
5. 5)
  - 20. Levant, A.: ‘Homogeneity approach to high-order sliding mode design’, Automatica, 2005, 41, (5), pp. 823–830 (doi: 10.1016/j.automatica.2004.11.029).
6. 6)
  - 5. Marino, R., Tomei, P., Verrelli, C.M.: ‘Induction motor control design’ (Springer, 2010).
7. 7)
  - 20. Said, M.N., Benbouzid, M.E.H., Benchaib, A.: ‘Detection of broken bars in induction motors using an extended Kalman filter for rotor resistance sensorless estimation’, IEEE Trans. Energy Convers., 2000, 15, (1), 66–70 (doi: 10.1109/60.849118).
8. 8)
  - 10. Floquet, T., Barbot, J.P.: ‘Super twisting algorithm-based step-by-step sliding mode observers for nonlinear systems with unknown inputs’, Int. J. Syst. Sci., 2007, 38, (10), 803–815 (doi: 10.1080/00207720701409330).
9. 9)
  - 4. Marino, R., Tomei, P.: ‘Nonlinear control design: geometric, adaptive and robust’ (Prentice-Hall International (UK) Ltd, 1996).
10. 10)
  - 3. Matsuo, T., Lipo, T.A.: ‘A rotor parameter identification scheme for vector-controlled induction motor drives’, IEEE Trans. Ind. Appl., 1985, IA-21, (3), 624–632 (doi: 10.1109/TIA.1985.349719).
11. 11)
  - 23. Rios, H., Davila, J., Fridman, L.: ‘High-order sliding mode observers for nonlinear autonomous switched systems with unknown inputs’, J. Franklin Inst., 2012, 349, (10), pp. 2975–3002 (doi: 10.1016/j.jfranklin.2012.07.003).
12. 12)
  - A. Levant . Higher-order sliding modes, differentiation and output-feedback control. Int. J. Control , 924 - 941
13. 13)
  - 17. Ticlea, A., Besancon, G.: ‘Observer design for state and parameter estimation in induction motors with simulation and experimental validation’. Thirty-second Annual Conf. on IEEE Industrial Electronics, IECON 2006, 2006, pp. 5075–5080.
14. 14)
  - 18. Marino, R., Peresada, S., Tomei, P.: ‘Exponentially convergent rotor resistance estimation for induction motors’, IEEE Trans. Ind. Electron., 1995, 42, (5), 508–515 (doi: 10.1109/41.464614).
15. 15)
  - G. Besancon . Remarks on nonlinear adaptive observer design. Syst. Control Lett. , 4 , 271 - 280
16. 16)
  - 2. Bocker, J., Mathapati, S.: ‘State of the art of induction motor control’. IEEE Int. Electric Machines & Drives Conf., IEMDC’07. IEEE, 2007, vol. 2, pp. 1459–1464.
17. 17)
  - 8. Salmasi, F.R., Najafabadi, T.A.: ‘An adaptive observer with online rotor and stator resistance estimation for induction motors with one phase current sensor’. IEEE Trans. Energy Convers., 2011, 26, (3), 959–966 (doi: 10.1109/TEC.2011.2159007).
18. 18)
  - 19. Marino, R., Peresada, S., Tomei, P.: ‘On-line stator and rotor resistance estimation for induction motors’, IEEE Trans. Control Syst. Technol., 2000, 8, (3), 570–579 (doi: 10.1109/87.845888).
19. 19)
  - 15. Guzman-Baltazar, E., Moreno, J.A.: ‘Dissipative design of adaptive observers for systems with multivalued nonlinearities’. Forty-ninth IEEE Conf. on Decision and Control (CDC), 2010, pp. 2625–2630.
20. 20)
  - A.B. Proca , A. Keyhani . Sliding-mode flux observer with online rotor parameter estimation for induction motors. IEEE Trans. Ind. Electron. , 2 , 716 - 723

Login

Not registered yet?

Share

Tools

Login to add to favourites

Key

Estimating rotor parameters in induction motors using high-order sliding mode algorithms

References

Related content